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Rewrite the area of the rink in square yards.

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How many diagonals does an octagon have?

SHORT RESPONSE The shape of the button shown is a regular polygon.

The perimeter is 268 feet and the area is 4200 square feet.

Find the perimeter and area of a rectangle.

Find the area and perimeter (or circumference) of the figure.

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Perimeter and circumference are measured in units of length, such as meters (m) and feet (ft).

TEAM PATCH You are ordering circular cloth patches for your soccer.

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The length of the rectangle is twice its width.

What is the approximate perimeter of triangle QRS?

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Find the approximate circumference and area of the patch shown.

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STEP 1 Draw rectangles Draw different rectangles, each with an area of 36 square units.

There are 3 feet in 1 yard, and 32 5 9 square feet in 1 square yard.

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DRAWING A DIAGRAM The base of a triangle is 32 feet.

The base of a triangle is 28 meters.

CIRCUMFERENCE AND AREA Use the given diameter d or radius r to find the.

Sketch the triangle and find its area.

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About how many minutes does it take the machine to resurface a rectangular skating rink that is 200 feet long and 90 feet wide?

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How many millimeters of silver wire are needed for this border?

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Find the distance between the two points.

Use the Distance Formula to find QR and RS.

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ALGEBRA The area of a rectangle is 18 square inches.

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UNKNOWN MEASURE The width of a rectangle is 17 inches.

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How can you use a graphing calculator to find the smallest possible perimeter for a rectangle with a given area?

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STEP 1 Find the area of the rectangular skating rink.

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Round your answers to the nearest tenth.

How does the graph show which of your rectangles from Step 1 has the smallest perimeter?

Use lengths of 2, 4, 6, 8, 10, 12, 14, 16, and 18 units.

ANOTHER WAY For an alternative method for solving the problem in Example 4, turn to page 57 for the Problem Solving Workshop.

Find perimeters of rectangles with fixed areas.

DISTANCE FORMULA Find the perimeter of the figure.

STEP 2 Enter data Use the STATISTICS menu on a graphing calculator.

Classify each polygon by the number of sides.

MULTIPLE CHOICE What is the approximate area (in square units) of the rectangle shown at the right?

Solution AVOID ERRORS Write down your calculations to make sure you do not make a mistake substituting values in the Distance Formula.

LINE SYMMETRY A figure has line symmetry if it can be folded.

Then write and solve an equation based on the verbal model.

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CHALLENGE The diagram shows four identical squares lying.

The machine can resurface the ice at a rate of 270 square yards per minute.

The machine can resurface about 270 square yards of ice in one minute.

Recall that perimeter is the distance around a figure, circumference is the distance around a circle, and area is the amount of surface covered by a figure.

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So you can use measures in science, as in Ex.

If necessary, round to the nearest tenth.

Find the perimeter and the area of the.

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Sketch five different polygons you see in.

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DRAWING A DIAGRAM The diameter of a circle is 18.

For example, a quadrilateral has two diagonals, as shown below.

Repeat the steps above for rectangles with areas of 64 square units.

Sketch the circle and find its circumference and area.

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Area is measured in square units, such as square meters (m 2) and square feet (ft 2).

What is the area of the triangle in square inches?

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PERIMETER AND AREA Find the perimeter and area of the shaded figure.

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VOCABULARY How are the diameter and radius of a circle related?

STEP 2 Write a verbal model to represent the situation.

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BASKETBALL Find the perimeter and area of the.

EXTENDED RESPONSE A segment that joins two nonconsecutive vertices of a polygon is called a diagonal.

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So, the amount of time it takes to resurface the skating rink depends on its area.

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First draw triangle QRS in a coordinate plane.

Find the number of lines of symmetry in each polygon.

The button has a border made of silver wire.

Then use the trace feature to see the coordinates of each point.

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What measurement units would you use in each situation?

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The area of a triangle is 64 square meters, and its height is 16 meters.

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The fold line is called the line of symmetry.

The resurfacing rate is in square yards per minute.

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UNKNOWN MEASURES Use the information about the figure to find the.

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Pi (p ) is the ratio of a circle's circumference to its diameter.

Let t represent the total time (in minutes) needed to resurface the skating rink.

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Based on the Explore and your results from Exercise 1, what do you.

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Write formula for the area of a triangle.

CONVERTING UNITS Copy and complete the statement.

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